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Excerpt from On Finite-Difference Approximations and Entropy Conditions for Shocks
BH f (2.2c) awi Z 0 for all i k. Assume that as At and Ax tend to zero, at/ax const.
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On Finite-Difference Approximations and Entropy Conditions for Shocks
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Paperback. Condizione: New. Print on Demand. Uncover the complexities of mathematical techniques used to approximate solutions to hyperbolic conservation laws. This book delves into the intricacies of finite difference schemes, exploring their convergence properties and ability to capture physically relevant solutions. The author examines monotone schemes, proving their convergence to the desired solutions, and contrasts it with non-monotone schemes, demonstrating cases where they may not. Through rigorous mathematical analysis and numerical examples, the book sheds light on the relationship between monotonicity and the presence of viscosity terms. It highlights the significance of these schemes in understanding the behavior of conservation laws, particularly in the presence of shocks and discontinuities. By exploring the theoretical foundations and practical implications of these techniques, this book extends our knowledge of numerical methods for solving hyperbolic conservation laws and offers valuable insights for researchers, students, and practitioners working in applied mathematics, computational science, and related fields. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Codice articolo 9781333609528_0
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781333609528
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781333609528
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